SecT163Field
using Org.BouncyCastle.Math.Raw;
using System;
namespace Org.BouncyCastle.Math.EC.Custom.Sec
{
internal static class SecT163Field
{
private const ulong M35 = 34359738367;
private const ulong M55 = 36028797018963967;
private static readonly ulong[] ROOT_Z = new ulong[3] {
13176245766935393968,
5270498306774195053,
19634136210
};
public static void Add(ulong[] x, ulong[] y, ulong[] z)
{
z[0] = (x[0] ^ y[0]);
z[1] = (x[1] ^ y[1]);
z[2] = (x[2] ^ y[2]);
}
public static void AddBothTo(ulong[] x, ulong[] y, ulong[] z)
{
z[0] ^= (x[0] ^ y[0]);
z[1] ^= (x[1] ^ y[1]);
z[2] ^= (x[2] ^ y[2]);
}
public static void AddExt(ulong[] xx, ulong[] yy, ulong[] zz)
{
zz[0] = (xx[0] ^ yy[0]);
zz[1] = (xx[1] ^ yy[1]);
zz[2] = (xx[2] ^ yy[2]);
zz[3] = (xx[3] ^ yy[3]);
zz[4] = (xx[4] ^ yy[4]);
zz[5] = (xx[5] ^ yy[5]);
}
public static void AddOne(ulong[] x, ulong[] z)
{
z[0] = (x[0] ^ 1);
z[1] = x[1];
z[2] = x[2];
}
public static void AddTo(ulong[] x, ulong[] z)
{
z[0] ^= x[0];
z[1] ^= x[1];
z[2] ^= x[2];
}
public static ulong[] FromBigInteger(BigInteger x)
{
return Nat.FromBigInteger64(163, x);
}
public static void HalfTrace(ulong[] x, ulong[] z)
{
ulong[] array = Nat192.CreateExt64();
Nat192.Copy64(x, z);
for (int i = 1; i < 163; i += 2) {
ImplSquare(z, array);
Reduce(array, z);
ImplSquare(z, array);
Reduce(array, z);
AddTo(x, z);
}
}
public static void Invert(ulong[] x, ulong[] z)
{
if (Nat192.IsZero64(x))
throw new InvalidOperationException();
ulong[] array = Nat192.Create64();
ulong[] array2 = Nat192.Create64();
Square(x, array);
SquareN(array, 1, array2);
Multiply(array, array2, array);
SquareN(array2, 1, array2);
Multiply(array, array2, array);
SquareN(array, 3, array2);
Multiply(array, array2, array);
SquareN(array2, 3, array2);
Multiply(array, array2, array);
SquareN(array, 9, array2);
Multiply(array, array2, array);
SquareN(array2, 9, array2);
Multiply(array, array2, array);
SquareN(array, 27, array2);
Multiply(array, array2, array);
SquareN(array2, 27, array2);
Multiply(array, array2, array);
SquareN(array, 81, array2);
Multiply(array, array2, z);
}
public static void Multiply(ulong[] x, ulong[] y, ulong[] z)
{
ulong[] array = new ulong[8];
ImplMultiply(x, y, array);
Reduce(array, z);
}
public static void MultiplyAddToExt(ulong[] x, ulong[] y, ulong[] zz)
{
ulong[] array = new ulong[8];
ImplMultiply(x, y, array);
AddExt(zz, array, zz);
}
public static void MultiplyExt(ulong[] x, ulong[] y, ulong[] zz)
{
ImplMultiply(x, y, zz);
}
public static void Reduce(ulong[] xx, ulong[] z)
{
ulong num = xx[0];
ulong num2 = xx[1];
ulong num3 = xx[2];
ulong num4 = xx[3];
ulong num5 = xx[4];
ulong num6 = xx[5];
num3 ^= ((num6 << 29) ^ (num6 << 32) ^ (num6 << 35) ^ (num6 << 36));
num4 ^= ((num6 >> 35) ^ (num6 >> 32) ^ (num6 >> 29) ^ (num6 >> 28));
num2 ^= ((num5 << 29) ^ (num5 << 32) ^ (num5 << 35) ^ (num5 << 36));
num3 ^= ((num5 >> 35) ^ (num5 >> 32) ^ (num5 >> 29) ^ (num5 >> 28));
num ^= ((num4 << 29) ^ (num4 << 32) ^ (num4 << 35) ^ (num4 << 36));
num2 ^= ((num4 >> 35) ^ (num4 >> 32) ^ (num4 >> 29) ^ (num4 >> 28));
ulong num7 = num3 >> 35;
z[0] = (num ^ num7 ^ (num7 << 3) ^ (num7 << 6) ^ (num7 << 7));
z[1] = num2;
z[2] = (num3 & 34359738367);
}
public static void Reduce29(ulong[] z, int zOff)
{
ulong num = z[zOff + 2];
ulong num2 = num >> 35;
z[zOff] ^= (num2 ^ (num2 << 3) ^ (num2 << 6) ^ (num2 << 7));
z[zOff + 2] = (num & 34359738367);
}
public static void Sqrt(ulong[] x, ulong[] z)
{
ulong[] array = Nat192.Create64();
array[0] = Interleave.Unshuffle(x[0], x[1], out ulong even);
array[1] = Interleave.Unshuffle(x[2], out ulong even2);
Multiply(array, ROOT_Z, z);
z[0] ^= even;
z[1] ^= even2;
}
public static void Square(ulong[] x, ulong[] z)
{
ulong[] array = Nat192.CreateExt64();
ImplSquare(x, array);
Reduce(array, z);
}
public static void SquareAddToExt(ulong[] x, ulong[] zz)
{
ulong[] array = Nat256.CreateExt64();
ImplSquare(x, array);
AddExt(zz, array, zz);
}
public static void SquareExt(ulong[] x, ulong[] zz)
{
ImplSquare(x, zz);
}
public static void SquareN(ulong[] x, int n, ulong[] z)
{
ulong[] array = Nat192.CreateExt64();
ImplSquare(x, array);
Reduce(array, z);
while (--n > 0) {
ImplSquare(z, array);
Reduce(array, z);
}
}
public static uint Trace(ulong[] x)
{
return (uint)((int)(x[0] ^ (x[2] >> 29)) & 1);
}
private static void ImplCompactExt(ulong[] zz)
{
ulong num = zz[0];
ulong num2 = zz[1];
ulong num3 = zz[2];
ulong num4 = zz[3];
ulong num5 = zz[4];
ulong num6 = zz[5];
zz[0] = (num ^ (num2 << 55));
zz[1] = ((num2 >> 9) ^ (num3 << 46));
zz[2] = ((num3 >> 18) ^ (num4 << 37));
zz[3] = ((num4 >> 27) ^ (num5 << 28));
zz[4] = ((num5 >> 36) ^ (num6 << 19));
zz[5] = num6 >> 45;
}
private static void ImplMultiply(ulong[] x, ulong[] y, ulong[] zz)
{
ulong num = x[0];
ulong num2 = x[1];
ulong num3 = x[2];
num3 = ((num2 >> 46) ^ (num3 << 18));
num2 = (((num >> 55) ^ (num2 << 9)) & 36028797018963967);
num &= 36028797018963967;
ulong num4 = y[0];
ulong num5 = y[1];
ulong num6 = y[2];
num6 = ((num5 >> 46) ^ (num6 << 18));
num5 = (((num4 >> 55) ^ (num5 << 9)) & 36028797018963967);
num4 &= 36028797018963967;
ulong[] array = new ulong[10];
ImplMulw(zz, num, num4, array, 0);
ImplMulw(zz, num3, num6, array, 2);
ulong num7 = num ^ num2 ^ num3;
ulong num8 = num4 ^ num5 ^ num6;
ImplMulw(zz, num7, num8, array, 4);
ulong num9 = (num2 << 1) ^ (num3 << 2);
ulong num10 = (num5 << 1) ^ (num6 << 2);
ImplMulw(zz, num ^ num9, num4 ^ num10, array, 6);
ImplMulw(zz, num7 ^ num9, num8 ^ num10, array, 8);
ulong num11 = array[6] ^ array[8];
ulong num12 = array[7] ^ array[9];
ulong num13 = (num11 << 1) ^ array[6];
ulong num14 = num11 ^ (num12 << 1) ^ array[7];
ulong num15 = num12;
ulong num16 = array[0];
ulong num17 = array[1] ^ array[0] ^ array[4];
ulong num18 = array[1] ^ array[5];
ulong num19 = num16 ^ num13 ^ (array[2] << 4) ^ (array[2] << 1);
ulong num20 = num17 ^ num14 ^ (array[3] << 4) ^ (array[3] << 1);
ulong num21 = num18 ^ num15;
num20 ^= num19 >> 55;
num19 &= 36028797018963967;
num21 ^= num20 >> 55;
num20 &= 36028797018963967;
num19 = ((num19 >> 1) ^ ((num20 & 1) << 54));
num20 = ((num20 >> 1) ^ ((num21 & 1) << 54));
num21 >>= 1;
num19 ^= num19 << 1;
num19 ^= num19 << 2;
num19 ^= num19 << 4;
num19 ^= num19 << 8;
num19 ^= num19 << 16;
num19 ^= num19 << 32;
num19 &= 36028797018963967;
num20 ^= num19 >> 54;
num20 ^= num20 << 1;
num20 ^= num20 << 2;
num20 ^= num20 << 4;
num20 ^= num20 << 8;
num20 ^= num20 << 16;
num20 ^= num20 << 32;
num20 &= 36028797018963967;
num21 ^= num20 >> 54;
num21 ^= num21 << 1;
num21 ^= num21 << 2;
num21 ^= num21 << 4;
num21 ^= num21 << 8;
num21 ^= num21 << 16;
num21 ^= num21 << 32;
zz[0] = num16;
zz[1] = (num17 ^ num19 ^ array[2]);
zz[2] = (num18 ^ num20 ^ num19 ^ array[3]);
zz[3] = (num21 ^ num20);
zz[4] = (num21 ^ array[2]);
zz[5] = array[3];
ImplCompactExt(zz);
}
private static void ImplMulw(ulong[] u, ulong x, ulong y, ulong[] z, int zOff)
{
u[1] = y;
u[2] = u[1] << 1;
u[3] = (u[2] ^ y);
u[4] = u[2] << 1;
u[5] = (u[4] ^ y);
u[6] = u[3] << 1;
u[7] = (u[6] ^ y);
uint num = (uint)x;
ulong num2 = 0;
ulong num3 = u[num & 3];
int num4 = 47;
do {
num = (uint)(x >> num4);
ulong num5 = u[num & 7] ^ (u[(num >> 3) & 7] << 3) ^ (u[(num >> 6) & 7] << 6);
num3 ^= num5 << num4;
num2 ^= num5 >> -num4;
} while ((num4 -= 9) > 0);
z[zOff] = (num3 & 36028797018963967);
z[zOff + 1] = ((num3 >> 55) ^ (num2 << 9));
}
private static void ImplSquare(ulong[] x, ulong[] zz)
{
Interleave.Expand64To128(x, 0, 3, zz, 0);
}
}
}